Academic Geometry Syllabus
Date: Spring 2011 Authors: D. Busa, M.J. Gonzalez, H. Hewitt, W. Kolc
Text: McDougal Littell Geometry Concepts & Skills
Unit 1 – Lines & Angles Defined. definitions of point, line, plane, segment, ray; collinear vs. non-collinear points; coplanar vs. non-coplanar points, lines, segments, rays. Unit 1 Quiz the Segment Addition Postulate; definition of between; the Midpoint Formula; definition of segment bisector; definition of angle; formal notation for angles; parts of an angle (vertex, sides); measure of an angle; the Angle Addition Postulate; classifying angles by their measures. Unit 1 Test
Unit 2 – Triangles. classifying triangles by their sides or angles; inequalities in one triangle; parts of a right triangle (hypotenuse, legs). Unit 2 Quiz 1 the Pythagorean Theorem; distance on the coordinate plane; brief mention of Pythagorean triples. Unit 2 Quiz 2 the Triangle Sum Theorem, the Base Angles Theorem. Unit 2 Test
Unit 3 – Two-Dimensional Figures. identifying a figure as a polygon or non-polygon; identifying a polygon as concave or convex; identifying regular, equilateral and equiangular polygons; formal notation for names of polygons and parts of polygons; classifying polygons by their number of sides; perimeter and circumference, including composite shapes; given perimeter find a missing measurement. Unit 3 Quiz 1 area of squares, rectangles, composite shapes, triangles, trapezoids, parallelograms; given perimeter find area; given area find missing measurement; word problems for all above (see
CAPT released items). Unit 3 Quiz 2 area of circles, sectors; given circumference find area. Unit 3 Test

Unit 4 – Volume. nets of cylinders, rectangular prisms, triangular prisms; volume of cylinders, rectangular prisms, triangular prisms; identifying each of these solids as a polyhedron or nonpolyhedron; counting faces, vertices and edges of a prism; volume of composite solids
(multiple prisms and a cylinder cut out of a cylinder); word problems for all above (see CAPT released items). Unit 4 Quiz nets of rectangular pyramids, triangular pyramids, cones; volume of rectangular pyramids, triangular pyramids, cones, spheres; identifying each of these solids as a polyhedron or nonpolyhedron; counting faces, vertices and edges of a pyramid; volume of composite solids
(include prisms and cylinders and focus on "holes" cut out of solids); word problems for all above (see CAPT released items). Unit 4 Test
MIDTERM EXAM
Unit 5 – Similarity and Proportions. word problems that can be solved using proportions, including rate questions and "shadow" questions for which similar triangles can be sketched. Unit 5 Test
Unit 6 – Surface Area. surface area of rectangular prisms, triangular prisms, cubes, cylinders; lateral area of triangular prisms and cylinders; word problems for all above, such as painting a room (also see CAPT released items). Unit 6 Mid-Unit Test surface area of rectangular pyramids, triangular pyramids, cones, spheres; lateral area of rectangular pyramids, triangular pyramids, cones; word problems for all above (see CAPT released items). Unit 6 End-of-Unit Test

Unit 7 – Transversal Lines & Special Angles. complementary angles; supplementary angles; the Linear Pair Postulate; the Vertical Angles
Theorem. Unit 7 Quiz the Corresponding Angles Postulate; the Alternate Interior Angles Theorem; the Alternate
Exterior Angles Theorem; the Same-Side Interior Angles Theorem; extension problems that require the use of above theorems in addition to the Triangle Sum Theorem. Unit 7 Test
Unit 8 – The Hierarchy of Quadrilaterals. identifying special quadrilaterals by sight; identifying special quadrilaterals with given information marked on a sketch; reasoning about special quadrilaterals (such as "every square is a rectangle"). Unit 8 Quiz properties of special quadrilaterals; coordinate geometry (such as identifying a parallelogram by the slope of its sides). Unit 8 Test
FINAL EXAM